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2286066200 = 2352111815741
BaseRepresentation
bin1000100001000010…
…1001101000011000
312220022122012021112
42020100221220120
514140213104300
61014502155452
7110436146015
oct21020515030
95808565245
102286066200
11a73474410
12539722b88
132a5806bc2
1417988270c
15d5a6ce35
hex88429a18

2286066200 has 96 divisors (see below), whose sum is σ = 5831345520. Its totient is φ = 826560000.

The previous prime is 2286066191. The next prime is 2286066239. The reversal of 2286066200 is 26606822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395330 + ... + 401070.

Almost surely, 22286066200 is an apocalyptic number.

2286066200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915672760).

2286066200 is an abundant number, since it is smaller than the sum of its proper divisors (3545279320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2286066200 is a wasteful number, since it uses less digits than its factorization.

2286066200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2286066200 is about 47812.8246394208. The cubic root of 2286066200 is about 1317.3351118140.

The spelling of 2286066200 in words is "two billion, two hundred eighty-six million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 181 200 220 275 362 440 550 724 905 1100 1448 1810 1991 2200 3620 3982 4525 5741 7240 7964 9050 9955 11482 15928 18100 19910 22964 28705 36200 39820 45928 49775 57410 63151 79640 99550 114820 126302 143525 199100 229640 252604 287050 315755 398200 505208 574100 631510 1039121 1148200 1263020 1578775 2078242 2526040 3157550 4156484 5195605 6315100 8312968 10391210 11430331 12630200 20782420 22860662 25978025 41564840 45721324 51956050 57151655 91442648 103912100 114303310 207824200 228606620 285758275 457213240 571516550 1143033100 2286066200